<p>Recently, the hybrid nanofluids have encouraged visions for revising thermophysical possessions, mainly dynamic viscosity and thermal conductivity. The attention of several scientists on ternary and binary hybrid nanofluids has great significance in the present. Although, with its promising phase, the ternary hybrid nanofluids work has boundless prospective for extensive engineering uses, as specified by the encouraging results of partial studies. Furthermore, the efficiency of heat transfer is greatly increased by the creative application of ternary hybrid nanofluids. In this work, the effect of heat radiation surrounding a moving thin needle on the magnetohydrodynamic (MHD) behaviour of ternary hybrid nanofluids is investigated in relation to the Darcy–Forchheimer flow. The study focuses on hybrid nanofluids made of copper, aluminium, and titanium oxide that flow past a thin, vertical moving needle. This type of fluid is gaining popularity because of its many industrial and technical benefits. By applying the proper similarity transformations, the governing partial differential equations (PDEs), which are by nature nonlinear, are converted into ordinary differential equations (ODEs). The bvp4c is exploited to solve these ODEs numerically. The study looks into the heat transfer rate, skin friction coefficient, temperature distribution, and velocity profile. Both numerical and graphical findings show that the velocity of the nanofluid increases as the Forchheimer number rises. Additionally, it has been noted that the heat transfer rate at the surface is greatly enhanced by larger aluminium nanoparticle concentrations and higher Eckert numbers.</p>